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Finding the Third Proportional to 200,895 and 272,839.50

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Solution

The third proportional to 200,895 and 272,839.50 is: 370,548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,895 : 272,839.50 = 272,839.50 : x
  2. Step 2: Convert to fraction form
    200,895/272,839.50 = 272,839.50/x
  3. Step 3: Cross multiply
    200,895x = 272,839.50 × 272,839.50
  4. Step 4: Simplify right side
    200,895x = 74,441,392,760.25
  5. Step 5: Solve for x
    x = 74,441,392,760.25/200,895
  6. Step 6: Final answer
    x = 370,548.76

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.